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Simplifying (8t + -6) = 3(t + 1) + 3 Reorder the terms: (-6 + 8t) = 3(t + 1) + 3 Remove parenthesis around (-6 + 8t) -6 + 8t = 3(t + 1) + 3 Reorder the terms: -6 + 8t = 3(1 + t) + 3 -6 + 8t = (1 * 3 + t * 3) + 3 -6 + 8t = (3 + 3t) + 3 Reorder the terms: -6 + 8t = 3 + 3 + 3t Combine like terms: 3 + 3 = 6 -6 + 8t = 6 + 3t Solving -6 + 8t = 6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -6 + 8t + -3t = 6 + 3t + -3t Combine like terms: 8t + -3t = 5t -6 + 5t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 -6 + 5t = 6 + 0 -6 + 5t = 6 Add '6' to each side of the equation. -6 + 6 + 5t = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 5t = 6 + 6 5t = 6 + 6 Combine like terms: 6 + 6 = 12 5t = 12 Divide each side by '5'. t = 2.4 Simplifying t = 2.4
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